Search a number
-
+
212214433214320 = 24542140131570123
BaseRepresentation
bin110000010000001000000101…
…111010000110111101110000
31000211101111112201122002202121
4300100020011322012331300
5210303410124400324240
62031201544215324024
762461662325511215
oct6020100572067560
91024344481562677
10212214433214320
11616886aa148949
121b9746b4380614
13915497327a124
143a5933a529b0c
1519802b75dc04a
hexc10205e86f70

212214433214320 has 80 divisors (see below), whose sum is σ = 494694082454112. Its totient is φ = 84662987996160.

The previous prime is 212214433214293. The next prime is 212214433214323. The reversal of 212214433214320 is 23412334412212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212214433214323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134372779 + ... + 135942901.

Almost surely, 2212214433214320 is an apocalyptic number.

212214433214320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212214433214320 is an abundant number, since it is smaller than the sum of its proper divisors (282479649239792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212214433214320 is a wasteful number, since it uses less digits than its factorization.

212214433214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574570 (or 1574564 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 212214433214320 its reverse (23412334412212), we get a palindrome (235626767626532).

The spelling of 212214433214320 in words is "two hundred twelve trillion, two hundred fourteen billion, four hundred thirty-three million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 421 842 1684 2105 3368 4013 4210 6736 8026 8420 16052 16840 20065 32104 33680 40130 64208 80260 160520 321040 1570123 1689473 3140246 3378946 6280492 6757892 7850615 8447365 12560984 13515784 15701230 16894730 25121968 27031568 31402460 33789460 62804920 67578920 125609840 135157840 661021783 1322043566 2644087132 3305108915 5288174264 6300903599 6610217830 10576348528 12601807198 13220435660 25203614396 26440871320 31504517995 50407228792 52881742640 63009035990 100814457584 126018071980 252036143960 504072287920 2652680415179 5305360830358 10610721660716 13263402075895 21221443321432 26526804151790 42442886642864 53053608303580 106107216607160 212214433214320